  ## GMAT GRE - Math - Practice Test - MCQ Set 8

##### Larger image Options are :

• 60
• less than 90 deg.
• 90 (Correct)
• Not possible with the given limited info

Options are :

• d
• a (Correct)
• c
• b

##### Eight chairs are numbered 1 to 8. Two women and 3 men wish to occupy one chair each. First the women choose the chairs from amongst the chairs 1 to 4 and then men select from the remaining chairs. Find the total number of possible arrangements.

Options are :

• 12
• 1440 (Correct)
• 120
• 360

Options are :

• 40
• 60 (Correct)
• 50
• 55

Options are :

• a
• d
• c (Correct)
• b

##### Larger image Options are :

• 3 root 6
• 5 root 6
• 6
• 4 root 6 (Correct)

##### In a 3600 m race around a circular track of length 400m, the faster runner and the slowest runner meet at the end of the fourth minute, for the first time after the start of the race. All the runners maintain uniform speed throughout the race. If the faster runner runs at thrice the speed of the slowest runner. Find the time taken by the faster runner to finish the race.

Options are :

• 36 min
• 12 min
• 16 min
• 24 min (Correct)

##### Vertices of a quadrilateral ABCD are A (0, 0), B (4, 5), C (9, 9) and D (5, 4). What is the type of the quadrilateral?

Options are :

• Rhombus (Correct)
• Parallelogram but not a rhombus
• Square
• Rectangle but not a square

Options are :

• 81 (Correct)
• 54
• 80
• 83

##### Two Dice are rolled together. Find the probability of getting a multiple of 2 on one die and an odd number on the other die.

Options are :

• 1 / 2 (Correct)
• 1 / 3
• 1 / 36
• 1 / 18

Options are :

• D
• A
• B (Correct)
• C

Options are :

• b (Correct)
• d
• c
• a

Options are :

• c
• a
• b (Correct)
• d

##### Aashman takes 6.5 hours to go from city Lucknow to city Aligarh at 3 different speeds 30 kmph, 45 kmph, and 60 kmph covering the same distance with each speed. The respective mileages per liter of fuel are 11 km, 14 km and 18 km for the above speeds. Aashman's friend Viyan is an efficient driver and wants to minimize his friend's car's fuel consumption. So he decides to drive Aashman's car one day from city Lucknow to city Gurgaon. How much fuel will he be able to save?

Options are :

• 4.5 ltrs (Correct)
• 0.7 ltrs
• 0.3 ltrs
• 4.2 ltrs

##### Larger image Options are :

• Angle ROQ
• 2 x Angle ROQ
• 2 x Angle POS (Correct)
• Angle POS

##### Thomas was born between October 6th and 10th (Oct 6th and 10th is excluding). His year of birth is also known. What is the probability of Thomas being born on a Saturday?

Options are :

• 1 / 3 or 1 / 7
• Cannot be determined
• 0 or 3 / 7 (Correct)

Answer :0 or 3 / 7

##### Larger image Options are :

• 12 root 32 (here 12 is not multiplied)
• root 2
• 2 (Correct)
• 12 root 2 (here 12 is not multiplied)

##### A boy spend Rs. 10 first day, Rs. 20 on second day, Rs. 40 on third day and so on. Find how much, in all, will he spend in 12 days?

Options are :

• Rupees = 10 (2^10 -2)
• Rupees = 10 (2^12 -1) (Correct)
• Rupees = 10 (2^12 -2)
• Rupees = 10 (2^10 -1)

Answer :Rupees = 10 (2^12 -1)

##### Star Health Insurance Company issues standard, preferred and ultra-preferred policies. Among the company's policy holders of a certain age, 50 are standard with the probability of 0.01 dying in the next year, 30 are preferred with a probability of 0.008 of dying in the next year and 20 are ultra-preferred with a probability of 0.007 of dying in the next year. If a policy holder of that age dies in the next year, what is the probability of the decreased being a preferred policy holder?

Options are :

• 0.375
• 0.2727 (Correct)
• none of these
• 0.1591

##### An airplane flies 3500 km in the same time that a train takes to travel 600 km. If the airplane flies 50 km an hour more than five times the speed of the train, what are the speeds of the train and airplane?

Options are :

• 60 km/h and 350 km/h (Correct)
• 80 km/h and 300 km/h
• 60 km/h and 300 km/h
• 80 km/h and 350 km/h

Answer :60 km/h and 350 km/h

##### Number of units of a good that can be produced by a factory is directly proportional to the square of the number of workers, square root of the number of machines and to the number of hours put in. The factory produces 200 goods when 4 people work for 8 hours each with 4 machines. When 3 people work for 12 hours each with 9 machines, how many goods will be produced?

Options are :

• 25 / 32
• none of the above
• 324 / 25
• 2025 / 8 (Correct)

##### 90% and 97% pure acid solutions are mixed to obtain 21 litres of 95% pure acid solution. Find the quantity of each type of acid to be mixed to form the mixture.

Options are :

• None of them
• Quantity of 1st acid = 8 litres and 2nd acid = 20 litres
• Quantity of 1st acid = 6 litres and 2nd acid = 15 litres (Correct)
• Quantity of 1st acid = 6 litres and 2nd acid = 14 litres

Answer :Quantity of 1st acid = 6 litres and 2nd acid = 15 litres

##### When a number is divided by 36, it leaves a remainder of 19. What will be the remainder when the number is divided by 12?

Options are :

• 7 (Correct)
• 192
• none of these
• 10

Options are :

• b
• c
• a
• d (Correct)

##### Larger image Options are :

• 24x y^3 z^2
• 6xy^2 z^2 (Correct)
• 24x y^2 z^3
• 6x^3 y^4 z^3

##### The cost of an article is Rs. 6,000 (INR) to a distributor. He sells it to a trader for Rs. 7,500 (INR) and the trader sells it to a customer for Rs. 8,000. If the VAT rate is 12.5%; find the VAT paid by the: (i) distributor (ii) trader

Options are :

• By the distributor = Rs. 187.50 (INR) and by trader = Rs. 62.50 (INR) (Correct)
• By the distributor = Rs. 1000 (INR) and by trader = Rs. 937.50 (INR)
• By the distributor = Rs. 750 (INR) and by trader = Rs. 973.50 (INR)
• By the distributor = Rs. 700 (INR) and by trader = Rs. 800 (INR)

Answer :By the distributor = Rs. 187.50 (INR) and by trader = Rs. 62.50 (INR)

Options are :

• 45
• 20
• 40
• 77 (Correct)

##### Average of �n' number is t. One of the numbers �s' is replaced by �z' and the new average becomes u. What is the relation between n, t, s, u and z?

Options are :

• (t?u) / (s?z) = 1/n (Correct)
• (u?3) / (z?s) = 1/n
• (z?s) / u = 1/n
• (u?3) / (z?s) = 1/n

Answer :(t?u) / (s?z) = 1/n

##### Larger image Options are :

• 363 (Correct)
• 33
• 121
• 27

##### An equilateral triangle of side 9 cm is inscribed in a circle. Find the radius of the circle.

Options are :

• 3 root 5
• 4 root 3
• 4 root 5
• 3 root 3 (Correct)